Chaos Solitons & Fractals最新文献_第3页

A neural diffusion model for identifying influential nodes in complex networks 在复杂网络中识别有影响力节点的神经扩散模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115682

Waseem Ahmad, Bang Wang

{"title":"A neural diffusion model for identifying influential nodes in complex networks","authors":"Waseem Ahmad, Bang Wang","doi":"10.1016/j.chaos.2024.115682","DOIUrl":"10.1016/j.chaos.2024.115682","url":null,"abstract":"<div><div>Identifying influential nodes in complex networks through influence diffusion models is a challenging problem that has garnered significant attention in recent years. While many heuristic algorithms have been developed to address this issue, neural models that account for weighted influence remain underexplored. In this paper, we introduce a neural diffusion model (NDM) designed to identify weighted influential nodes in complex networks. Our NDM is trained on small-scale networks and learns to map network structures to the corresponding weighted influence of nodes, leveraging the weighted independent cascade model to provide insights into network dynamics. Specifically, we extract weight-based features from nodes at various scales to capture their local structures. We then employ a neural encoder to incorporate neighborhood information and learn node embeddings by integrating features across different scales into sequential neural units. Finally, a decoding mechanism transforms these node embeddings into estimates of weighted influence. Experimental results on both real-world and synthetic networks demonstrate that our NDM outperforms state-of-the-art techniques, achieving superior prediction performance.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Evolution of strategies in evolution games on small-world networks and applications 小世界网络演化博弈中的策略演化及其应用

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-30 DOI: 10.1016/j.chaos.2024.115676

Chengyan Liu , Wangyong Lv , Xinzexu Cheng , Yihao Wen , Xiaofeng Yang

{"title":"Evolution of strategies in evolution games on small-world networks and applications","authors":"Chengyan Liu , Wangyong Lv , Xinzexu Cheng , Yihao Wen , Xiaofeng Yang","doi":"10.1016/j.chaos.2024.115676","DOIUrl":"10.1016/j.chaos.2024.115676","url":null,"abstract":"<div><div>In the game-theoretic model of small-world networks, it is traditionally believed that participants randomly select neighbors to learn from. However, in the era of highly interconnected information, we can regard participants as highly rational individuals who can comprehensively consider the strategies of all their neighbors and adjust their own strategies accordingly to seek the best benefits. From this perspective, we utilize the small-world network model to depict the competitive relationship between participants and propose new strategy updating rules by introducing the Markov transition matrix, aiming to explore the specific impact of the small-world network structure on the cooperation rate of participants. Through simulation analysis, we observe that the behavior of the group tends to evolve towards strategies with higher returns. Among them, the number of neighbors in the network, the initial proportion of cooperative participants, and the potential irrational factor in the updating rules significantly affect the evolution speed of the cooperation rate. It is worth noting that the probability of random reconnection and the number of network nodes have no significant impact on the evolution trend of the cooperation rate. Furthermore, we apply this model to practical scenarios of bidding projects. Combined with a specific analysis of the bidding background, we find that reducing the number of adjacent edges and the initial proportion of cooperative participants are crucial factors in effectively reducing the cooperation rate. This discovery not only provides us with a new perspective to understand cooperative behavior in complex networks, but also offers valuable references for strategy making in actual bidding projects.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Complex dynamics in tick-borne disease transmission: A Filippov-type control strategy model with multiple time delays 蜱媒疾病传播的复杂动态：具有多重时间延迟的菲利波夫型控制策略模型

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-29 DOI: 10.1016/j.chaos.2024.115673

Ning Yu , Xue Zhang

{"title":"Complex dynamics in tick-borne disease transmission: A Filippov-type control strategy model with multiple time delays","authors":"Ning Yu , Xue Zhang","doi":"10.1016/j.chaos.2024.115673","DOIUrl":"10.1016/j.chaos.2024.115673","url":null,"abstract":"<div><div>This paper presents a tick-borne disease transmission model with a Filippov-type control strategy that involves spraying insecticides to kill ticks once the number of infected hosts exceeds a certain threshold. The model also incorporates two delays in disease transmission: an internal delay <span><math><mrow><msub><mrow><mi>τ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo></mrow></math></span> representing the maturation period of pathogens inside ticks, and an external delay <span><math><mrow><msub><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>,</mo></mrow></math></span> accounting for the time from a host being bitten by an infected tick to becoming infectious. Theoretical analysis deduces that the endemic equilibrium of the delayed Filippov system may undergo a Hopf bifurcation as the delays exceed critical levels. Furthermore, based on Filippov’s convex analysis, the sliding mode dynamics of the system are explored. The results indicate that depending on the threshold levels, the system’s solutions eventually converge to either the regular equilibrium of the two subsystems, a pseudo-equilibrium on the sliding mode, or a stable periodic solution. From a numerical perspective, the system undergoes different boundary focus bifurcation under different time delays and thresholds. Moreover, variations in the delay can lead to the emergence of a global sliding bifurcation on the sliding mode. Therefore, a Filippov system with multiple delays provides new insights and directions for controlling the spread of tick-borne diseases.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142537757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Social contagion under hybrid interactions 混合互动下的社会传染

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-29 DOI: 10.1016/j.chaos.2024.115687

Xincheng Shu, Man Yang, Zhongyuan Ruan, Qi Xuan

引用次数: 0

Cooperation dynamics of reputation-based manhattan distance social circle in spatial prisoner’s dilemma game in evolutionary game theory 进化博弈论中基于声誉的曼哈顿距离社会圈在空间囚徒困境博弈中的合作动力学

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-29 DOI: 10.1016/j.chaos.2024.115688

Jinlong Ma , Hongfei Zhao

{"title":"Cooperation dynamics of reputation-based manhattan distance social circle in spatial prisoner’s dilemma game in evolutionary game theory","authors":"Jinlong Ma , Hongfei Zhao","doi":"10.1016/j.chaos.2024.115688","DOIUrl":"10.1016/j.chaos.2024.115688","url":null,"abstract":"<div><div>Inspired by the complex interplay between reputation and social proximity, we propose a novel model called the Manhattan distance reputation circle, integrating nonlinear reputation mechanisms and interaction range within the spatial prisoner’s dilemma game. In this model, the average reputation of neighbors sharing the same strategy within a specific Manhattan distance is incorporated into the central node’s strategy update rule. Two rules are introduced to evaluate average reputation: rule A employs the standard averaging method, while rule B applies a distance-based decay, introducing a nonlinear weighting to the reputation, giving more influence to closer neighbors. Monte Carlo simulations reveal that the proposed model exhibits nonlinear dynamics that promote the emergence of cooperative strategies. Specifically, greater interaction range and reputation adjustment values enhance cooperation, although the impact of interaction range plateaus beyond a certain threshold. While both rules foster cooperation, rule B’s nonlinear reputation decay reduces the fluctuations in cooperation seen in rule A as <span><math><mi>α</mi></math></span> increases under high introduction rates in the model.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142537758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A novel global perspective: Characterizing the fractal basins of attraction and the level of chaos in a double pendulum 新颖的全球视角：描述双摆的分形吸引盆地和混沌水平

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-29 DOI: 10.1016/j.chaos.2024.115694

Bo Qin , Ying Zhang

{"title":"A novel global perspective: Characterizing the fractal basins of attraction and the level of chaos in a double pendulum","authors":"Bo Qin , Ying Zhang","doi":"10.1016/j.chaos.2024.115694","DOIUrl":"10.1016/j.chaos.2024.115694","url":null,"abstract":"<div><div>The objective of this work is to deeply investigate the sensitivity to initial conditions and the factors influencing the level of chaos in a double pendulum system from a novel global perspective. Firstly, the pendulum's motion trajectories and mechanical energy are compared to determine the appropriate numerical algorithms for solving this model, including the fourth-order Runge-Kutta method (RK4 method) and the Euler method. Secondly, the captured experimental motion trajectories, along with numerical results, vividly demonstrate the system's sensitivity to initial conditions. On this basis, we develop an algorithm that successfully delineates the basins of attraction associated with the number of flips and the final angular positions of the pendulum, uncovering a petal-like structure characterized by significant rotational symmetry and fractal features. Finally, we employ a heat map of the average maximum Lyapunov exponent to reveal the correlation between mass ratio and the level of chaos. Both qualitative and quantitative results consistently confirm the mechanisms underlying the system's sensitivity to initial conditions and the reliability of the developed algorithm. This research provides valuable insights into the global dynamics and engineering applications of the double pendulum system.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142537756","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Eco-evolutionary feedbacks promotes species coexistence in the fig-wasp mutualism with Allee effect 生态进化反馈促进了无花果-蜂互生中的物种共存与阿利效应

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-28 DOI: 10.1016/j.chaos.2024.115680

Lin Wang , Yin-Ling Liu , Xiao-Fen Lin , Rui-Wu Wang

{"title":"Eco-evolutionary feedbacks promotes species coexistence in the fig-wasp mutualism with Allee effect","authors":"Lin Wang , Yin-Ling Liu , Xiao-Fen Lin , Rui-Wu Wang","doi":"10.1016/j.chaos.2024.115680","DOIUrl":"10.1016/j.chaos.2024.115680","url":null,"abstract":"<div><div>Mutualistic relationships between species have always fascinated ecologists because of the key role they play in ecosystem functioning. Early studies on the mutualism focused on the mutual influences and constraints between mutualistic parties and the environment. In fact, ecological and evolutionary processes may occur at the same time scale, which means that the coupling of these two processes needs to be fully considered. However, it is still a lack of coupled population dynamics and phenotypic trait dynamics of species to explore maintenance mechanisms of the mutualism. Here, we developed an eco-evolutionary model to investigate intrinsic driving forces for the maintenance of fig-wasp mutualism by coupling population dynamics, phenotypic trait (i.e., style and ovipositor) evolution, and Allee effect of the fig tree. Theoretical results found that: (<em>i</em>) the presence of the Allee effect contributes to the stabilisation of mutualistic relationships in the fig-wasp system; (<em>ii</em>) the fig-wasp mutualism is more prone to oscillation when the evolutionary rate of the style is greater than that of the ovipositor, and population dynamics of mutualistic parties are mainly dominated by interspecific interactions; (<em>iii</em>) under a relatively harsh environment, the eco-evolutionary model predicts the coexistence of species, whereas the ecological model does not. Our work suggests that eco-evolutionary feedbacks have an important effect on the stability of ecosystems, with a view to providing theoretical support for the understanding of interspecific interactions in general mutualistic systems and for the conservation of biodiversity.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A non-singleton type-3 neuro-fuzzy fixed-time synchronizing method 一种非梭子型-3 神经模糊定时同步法

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-28 DOI: 10.1016/j.chaos.2024.115671

Hamid Taghavifar , Ardashir Mohammadzadeh , Chunwei Zhang

{"title":"A non-singleton type-3 neuro-fuzzy fixed-time synchronizing method","authors":"Hamid Taghavifar , Ardashir Mohammadzadeh , Chunwei Zhang","doi":"10.1016/j.chaos.2024.115671","DOIUrl":"10.1016/j.chaos.2024.115671","url":null,"abstract":"<div><div>This paper presents a synchronizing approach to chaotic systems with unknown nonlinear dynamics using a Gaussian non-singleton type-3 (NT3) fuzzy logic system (T3-FLS). The proposed method effectively addresses the challenges of parameter uncertainties and external disturbances by utilizing higher-order fuzzy approximations, thereby enhancing robustness and adaptability. By incorporating a projection operator, the control scenario ensures stability. The design includes a fixed-time adaptive synchronization technique that guarantees convergence in a predetermined time frame, independent of the initial values. The presented theoretical analysis proves the superiority of the designed synchronization approach, while simulations demonstrate significant improvements in synchronization performance and resilience against uncertainties. Specifically, the proposed method achieves root mean square errors of 0.1990 and 0.2754 for the tracking errors, representing improvements over 30% compared to the other benchmarking methods. These outcomes demonstrate the robustness of our proposed controller in handling chaotic systems under various operating conditions.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive practical prescribed-time control for uncertain nonlinear systems with time-varying parameters 具有时变参数的不确定非线性系统的自适应实用规定时间控制

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-28 DOI: 10.1016/j.chaos.2024.115677

Tianping Zhang , Wei Zhang

引用次数: 0

Fostering cooperative evolution through probabilistic punishment and environmental feedback in public goods game 在公共产品博弈中通过概率惩罚和环境反馈促进合作进化

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2024-10-28 DOI: 10.1016/j.chaos.2024.115693

Jiaqi Liu, Qianwei Zhang, Rui Tang

引用次数: 0